arb/acb_hypgeom/2f1_pfaff.c

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/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2015 Fredrik Johansson
******************************************************************************/
#include "acb_hypgeom.h"
void
acb_hypgeom_2f1_pfaff(acb_t res, const acb_t a, const acb_t b,
const acb_t c, const acb_t z, int regularized, long prec)
{
acb_t t, u, v;
acb_init(t);
acb_init(u);
acb_init(v);
acb_sub_ui(t, z, 1, prec); /* t = z-1 */
acb_div(u, z, t, prec); /* u = z/(z-1) */
acb_neg(t, t);
acb_neg(v, a);
acb_pow(t, t, v, prec); /* t = (1-z)^-a */
acb_sub(v, c, b, prec); /* v = c-b */
acb_hypgeom_2f1_direct(res, a, v, c, u, regularized, prec);
acb_mul(res, res, t, prec);
acb_clear(t);
acb_clear(u);
acb_clear(v);
}